Infinite chains and antichains in computable partial Orderings-Reference-Cited by-同舟云学术

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Infinite chains and antichains in computable partial Orderings

Published:2001-06 Issue:2 Volume:66 Page:923-934
ISSN:0022-4812
Container-title:Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

Herrmann E.

Abstract

AbstractWe show that every infinite computable partial ordering has either an infinite chain or an infinite antichain. Our main result is that this cannot be improved: We construct an infinite computable partial ordering that has neither an infinite chain nor an infinite antichain.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference4 articles.

1. Herrmann E. , Recursively enumerable sets (the lattice structure and general properties of the recursively enumerable sets), to appear.

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